514863940608 has 264 divisors, whose sum is σ = 1526480406360. Its totient is φ = 167044055040.

The previous prime is 514863940597. The next prime is 514863940651. The reversal of 514863940608 is 806049368415.

514863940608 is a `hidden beast` number, since 514 + 8 + 63 + 9 + 4 + 0 + 60 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1015824384 + 513848116224 = 31872^2 + 716832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192327366 + ... + 192330042.

Almost surely, 2^514863940608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514863940608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763240203180).

514863940608 is an abundant number, since it is smaller than the sum of its proper divisors (1011616465752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

514863940608 is a wasteful number, since it uses less digits than its factorization.

514863940608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 514863940608 in words is "five hundred fourteen billion, eight hundred sixty-three million, nine hundred forty thousand, six hundred eight".